Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894352 | Journal of Geometry and Physics | 2009 | 17 Pages |
Abstract
An analogue of the correspondence between GL(k)GL(k)-conjugacy classes of matricial polynomials and line bundles is given for KK-conjugacy classes, where K⊂GL(k)K⊂GL(k) is one of the following: maximal parabolic, maximal torus, GL(k−1)GL(k−1) embedded diagonally. The generalised Legendre transform construction of hyperkähler metrics is studied further, showing that many known hyperkähler metrics (including the ones on coadjoint orbits) arise in this way, and giving a large class of new (pseudo-)hyperkähler metrics, analogous to monopole metrics.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Roger Bielawski,